How to improve pt score? Specifically push ups?

You need to build muscular endurance and work on pectoral hypertrophy, Just doing a bunch of push ups won't do this for you. If you have gym access get on the bench and work on benching your body weight for 10reps as many sets as possible this will help build the muscular endurance you need with your body weight. On a separate day work on progressive overload with the bench, This means just progressively increase stress with more weight and more reps until you hit your one rep max. This should help increase strength and endurance in your chest inevitably increaseing your push up reps. Best of luck!

I max my push-ups every PT test, and this is how I do it. do 3 sets of push-ups, first set, do half your max, take a minute break, then do half your max again, take a minute break, third set go to failure. take a minute break, do one set of wide pushups to failure, take a minute break, then do close hand pushups, to failure. Do this 3 times a week, and remember with the old PT test, you can change your hand position as long as you do not lift your hands from the ground. The new PT test has less flexibility with hand position. Good Luck.

I accomplished this by doing close arm, regular, and wide arm push ups.